Search a number
-
+
2434120040 = 235115532091
BaseRepresentation
bin1001000100010101…
…1011100101101000
320021122020002222002
42101011123211220
514441113320130
61041311350132
7114214451612
oct22105334550
96248202862
102434120040
111039aa7460
1257b222348
132ca3a4021
141913c1db2
15e3a65b45
hex9115b968

2434120040 has 32 divisors (see below), whose sum is σ = 5974659360. Its totient is φ = 885134400.

The previous prime is 2434120033. The next prime is 2434120057. The reversal of 2434120040 is 400214342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2434119994 and 2434120021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2765606 + ... + 2766485.

It is an arithmetic number, because the mean of its divisors is an integer number (186708105).

Almost surely, 22434120040 is an apocalyptic number.

2434120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2434120040 is an abundant number, since it is smaller than the sum of its proper divisors (3540539320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2434120040 is a wasteful number, since it uses less digits than its factorization.

2434120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5532113 (or 5532109 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2434120040 is about 49336.8020852588. The cubic root of 2434120040 is about 1345.1808125145.

Adding to 2434120040 its reverse (400214342), we get a palindrome (2834334382).

The spelling of 2434120040 in words is "two billion, four hundred thirty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5532091 11064182 22128364 27660455 44256728 55320910 60853001 110641820 121706002 221283640 243412004 304265005 486824008 608530010 1217060020 2434120040